QR codes on cards would work as well, if I'm understanding what this project is. The floppy disk approach has some nostalgia maybe but seems quite fragile. I quickly learned to never let my kids handle CDs/DVDs (one of the worst physical media designs ever; they are totally unprotected) as they would quickly become damaged and unplayable. Floppy disks are at least sort of protected but the same idea applies.
I still have a large number of working CDs from when I, myself, was a kid. DVDs too but they were later and more durable.
I’ve always wondered what people are doing to them? Maybe I just got lucky. Maybe I was just careful with them. Maybe I don’t remember the ones that failed.
I don’t think kids are less careful now, although being screamed at for making the CD or record skip was probably a deterrent.